Question: Consider the equation = 6 ut=uxx6ux,0 < <1 0 0 t>0, with boundary condition(0,)=0,(1,)=0 u(0,t)=0,u(1,t)=0, and initial condition(,0)= 3 (9sin()+5sin(2)+7sin(3)) u(x,0)=e3x(9sin(x)+5sin(2x)+7sin(3x)). Solve. (,)=

Consider the equation

=

6

ut=uxx6ux,0<<1

00

t>0, with boundary condition(0,)=0,(1,)=0

u(0,t)=0,u(1,t)=0, and initial condition(,0)=

3

(9sin()+5sin(2)+7sin(3))

u(x,0)=e3x(9sin(x)+5sin(2x)+7sin(3x)). Solve.

(,)=

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